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Finding the Third Proportional to 25,078 and 38,112

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Solution

The third proportional to 25,078 and 38,112 is: 57,920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,078 : 38,112 = 38,112 : x
  2. Step 2: Convert to fraction form
    25,078/38,112 = 38,112/x
  3. Step 3: Cross multiply
    25,078x = 38,112 × 38,112
  4. Step 4: Simplify right side
    25,078x = 1,452,524,544
  5. Step 5: Solve for x
    x = 1,452,524,544/25,078
  6. Step 6: Final answer
    x = 57,920.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.